We present state-of-the-art, high-precision predictions for top-quark pair production in the di-lepton channel at the LHC. Our results are based on the narrow-width approximation and include approximate NNLO corrections in the production subprocess, exact NNLO corrections in the decay subprocess as well as exact NLO$\times$NLO production-decay interferences. We briefly outline the structure of this new calculation and discuss the importance of the corrections beyond NLO. A first comparison of the these new predictions to ATLAS and CMS fiducial-region measurements is also made.